1003133222000 has 320 divisors, whose sum is σ = 3035955686400. Its totient is φ = 312090854400.

The previous prime is 1003133221967. The next prime is 1003133222009. The reversal of 1003133222000 is 2223313001.

It is a super-2 number, since 2×1003133222000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003133222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003133222009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10691291 + ... + 10784709.

It is an arithmetic number, because the mean of its divisors is an integer number (9487361520).

Almost surely, 2^{1003133222000} is an apocalyptic number.

1003133222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517977843200).

1003133222000 is an abundant number, since it is smaller than the sum of its proper divisors (2032822464400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003133222000 is a wasteful number, since it uses less digits than its factorization.

1003133222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93521 (or 93505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1003133222000 its reverse (2223313001), we get a palindrome (1005356535001).

The spelling of 1003133222000 in words is "one trillion, three billion, one hundred thirty-three million, two hundred twenty-two thousand".